$23$:$17$

$2023-2024$ Spring Semester $-$ Term Project

Dr$.$ Burak Urazel

$(1)$ Solve the attached problems $($Problem $1,$ Problem $2$ and Problem $3)$ by using the algorithm you chose. For each problem, you must follow the following steps:

Step$1$: Try to find a best parameter set $($i$.$e$.$ population size, iteration limit$,$ etc.$).$

Step$2$: By using the parameters obtained in step $1,$ solve the problem for $25$ times $($Note: Values of the objective function and decision variables must be displayed on the command window at the end of each trial$).$

Step$3$: Give the best, worst and average solutions among the $25$ trials. Besides, compute the standard deviation of those.

Step$4$: For the best solution among the $25$ trials, give the values of decision variables and prove that this solution is feasible.

$(2)$ Prepare a project report including followings;

An introducton section $($briefly exlain what you've done in this project$).$

A summary of the algorithm you used in your Project $($basic explanations, algorithm steps, flow$-$charts, etc$)$

A section including all results obtained in Step$1,$ Step$2,$ Step$3$ and Step$4$ given above for each problem.

A Conclusion Section

References

$(3)$ Upload the followings to the assignment published on ESOGU UZEM in a single $.$rar file with a name of $151220$XXXXXX$\_$project.rar.

Project Report

MATLAB folders for each Problem, seperately.

Name each folder as Problem$1,$ Problem$2$ and Problem$3.$

In each folder, a script file with a name "main$\_$ProblemX.m$"$ must be exist.

Your algorithm must solve the corresponding problem when this script is run.

After a solution is obtained, values of the objective function and decision variables must be displayed on the command window.

The Paper in which your algorithm is proposed.

Problem $1$:

minf$(x_1,x_2,x_3)=\sqrt[\phantom{2}]{{\displaystyle \underset{i=1}{\overset{3}{}}}(x_i-a_i{)}^2}$

Subject To

$2x_1-2x_2+5x_3=8$

where

$\backslash$table$[[i,1,2,3],[a_i,2,-4,-5]]$

uzemoys.ogu.edu.tr

This problems solve that Reptile Search Algorithm in Matlab Code